翻訳と辞書 Words near each other ・ Rodney Brown (athlete) ・ Rodney Brown (cricketer) ・ Rodington, Shropshire ・ Rodinia ・ Rodinné trampoty oficiála Tříšky ・ Rodino ・ Rodino (rural locality) ・ Rodinov ・ Rodinsky ・ Rodinsky District ・ Rodinsky's Room ・ Rodion Azarkhin ・ Rodion Cămătaru ・ Rodion Davelaar ・ Rodion Gačanin ・ Rodion Kuzmin ・ Rodion Luka ・ Rodion Malinovsky ・ Rodion Markovits ・ Rodion Romanovich Raskolnikov ・ Rodion Shchedrin ・ Rodionov ・ Rodionov Publishing House ・ Rodionova ・ Rodionovia ・ Rodionovo-Nesvetaysky ・ Rodionovo-Nesvetaysky District ・ Rodirlei José Ascensão Duarte ・ Rodis Kanakaris-Roufos ・ Rodishain Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Rodion Kuzmin ： ウィキペディア英語版 Rodion Kuzmin Rodion Osievich Kuzmin ((ロシア語:Родион Осиевич Кузьмин), Nov. 9, 1891, Riabye village in the Haradok district – March 23, 1949, Leningrad) was a Russian mathematician, known for his works in number theory and analysis. His name is sometimes transliterated as Kusmin. ==Selected results== * In 1928, Kuzmin solved the following problem due to Gauss (see Gauss–Kuzmin distribution): if ''x'' is a random number chosen uniformly in (0, 1), and ::$x\; =\; \backslash frac\}$ :is its continued fraction expansion, find a bound for ::$\backslash Delta\_n(s)\; =\; \backslash mathbb\; \backslash left\backslash \; -\; \backslash log\_2(1+s),$ :where ::$x\_n\; =\; \backslash frac\}\; .$ :Gauss showed that ''Δ''''n'' tends to zero as ''n'' goes to infinity, however, he was unable to give an explicit bound. Kuzmin showed that ::$|\backslash Delta\_n(s)|\; \backslash leq\; C\; e^\}=2.6651441426902251886502972498731\backslash ldots$ :is transcendental. See Gelfond–Schneider theorem for later developments. * He is also known for the Kusmin-Landau inequality: If $f$ is continuously differentiable with monotonic derivative $f\text{'}$ satisfying $\backslash Vert\; f\text{'}(x)\; \backslash Vert\; \backslash geq\; \backslash lambda\; >\; 0$ (where $\backslash Vert\; \backslash cdot\; \backslash Vert$ denotes the Nearest integer function) on a finite interval $I$, then ::$\backslash sum\_\; e^\backslash ll\; \backslash lambda^.$ 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Rodion Kuzmin」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.